Texture analysis based on Bidimensional Empirical Mode Decomposition and quaternions

Abstract

In this paper, a renovate texture analysis method is proposed. The BEMD is a locally adaptive method and suitable for the analysis of nonlinear or nonstationary signals. The texture image is decomposed to several 2D-IMFs (two dimentional intrinsic mode functions) by BEMD (Bidimentional Empirical Mode Decomposition). Then quaternion is used to get the quaternionic analytic signals, which is compatible with the associated harmonic transform. Finally, each 2D-IMF's local properties are analyzed by using a new quaternionic representation. As an advanced method for describing the local properties of a 2D-signal, this algorithm has seven characters of each 2D-IMF including instantaneous frequency. The performance of this texture analysis method is demonstrated with both synthetic and natural images.